Use Geometry to Find the Exact Value Of $\int _ { 0 } 2 + \sqrt { 9 - x ^ { 2 } } d x$

Multiple Choice

Use geometry to find the exact value of $\int _ { 0 } 2 + \sqrt { 9 - x ^ { 2 } } d x$

A) $\frac { 6 + 81 \pi } { 2 }$
B) $\frac { 6 + 9 \pi } { 4 }$
C) $\frac { 6 + 81 \pi } { 4 }$
D) $\frac { 24 + 9 \pi } { 4 }$